Semi-abelian Z-theory: NLSM+phi^3 from the open string

John Joseph M. Carrasco (1) , Carlos R. Mafra (2) , Oliver Schlotterer (3)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 University of Southampton
3 AEI - Max-Planck-Institut für Gravitationsphysik ( Albert-Einstein-Institut )

We continue our investigation of Z-theory, the second double-copy component of open-string tree-level interactions besides super-Yang-Mills (sYM). We show that the amplitudes of the extended non-linear sigma model (NLSM) recently considered by Cachazo, Cha, and Mizera are reproduced by the leading alpha'-order of Z-theory amplitudes in the semi-abelian limit. The extension refers to a coupling of NLSM pions to bi-adjoint scalars, and the semi-abelian limit refers to a partial symmetrization over one of the color orderings that characterize the Z-theory amplitudes. Alternatively, the partial symmetrization corresponds to a mixed interaction among abelian and non-abelian states in the underlying open-superstring amplitude. We simplify these permutation sums via monodromy relations which greatly increase the efficiency in extracting the alpha'-expansion of these amplitudes. Their alpha'-corrections encode higher-derivative interactions between NLSM pions and bi-colored scalars all of which obey the duality between color and kinematics. Through double copy, these results can be used to generate the predictions of supersymmetric Dirac-Born-Infeld-Volkov-Akulov theory coupled with sYM as well as a complete tower of higher-order alpha'-corrections.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

John Joseph M. Carrasco, Carlos R. Mafra, Oliver Schlotterer. Semi-abelian Z-theory: NLSM+phi^3 from the open string. 2017. ⟨cea-01426648v1⟩